Effective medium theory for disordered two-dimensional graphene

Abstract

We develop an Effective Medium Theory to study the electrical transport properties of disordered graphene. The theory includes non-linear screening and exchange-correlation effects allowing us to consider experimentally relevant strengths of the Coulomb interaction. Assuming random Coulomb impurities, we calculate the electrical conductivity as a function of gate voltage describing quantitatively the full cross-over from the fluctuations dominated regime around the Dirac point to the large doping regime at high gate voltages. We find that the conductivity at the Dirac point is strongly affected by exchange correlation effects.

Final version, accepted for publication in Phys. Rev. B

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• Two-dimensional surface charge transport in topological insulators
• Theory of carrier transport in bilayer graphene
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• Effect of Spatial Charge Inhomogeneity on 1/f Noise Behavior in Graphene
• Snake States in Graphene p-n Junctions
• Ultrafast, Zero-Bias, Graphene Photodetectors with Polymeric Gate Dielectric on Passive Photonic Waveguides
• Theory of 2D transport in graphene for correlated disorder
• Hydrodynamic transport in strongly coupled disordered quantum field theories
• Charge Puddles in Graphene Near the Dirac Point
• Microscopic theory for electron hydrodynamics in monolayer and bilayer graphene
• Giant Edelstein effect in Topological-Insulator--Graphene heterostructures
• Disorder induced magnetoresistance in a two dimensional electron system
• Universal conductance fluctuations in Dirac materials in the presence of long-range disorder
• 2D transport and screening in topological insulator surface states
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• Scanning gate microscopy of current-annealed single layer graphene
• Strain-engineering of graphene's electronic structure beyond continuum elasticity
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• Kondo effect and non-Fermi liquid behavior in Dirac and Weyl semimetals
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• Electronic transport across linear defects in graphene
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• Two-dimensional metal-insulator-transition as a potential fluctuation driven semiclassical transport phenomenon
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• Two-dimensional electronic transport on the surface of 3D topological insulators
• Carrier transport theory for twisted bilayer graphene in the metallic regime
• Ground state of graphene heterostructures in the presence of random charged impurities
• Theory of Coulomb Drag in Spatially Inhomogeneous Materials
• Temperature dependence of the diffusive conductivity of bilayer graphene
• Superconductivity in twisted Graphene $\mathrm{NbS}{\mathrm{e}}_2$ heterostructures
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• Graphene on SrTiO3
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• Origin of the quasi-universality of the graphene minimal conductivity
• Electronic structure of graphene-nanoribbons on hexagonal boron nitride
• Density functional theory based study of graphene and dielectric oxide interfaces
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• High optical absorption in graphene
• Dual top gated graphene transistor in the quantum Hall regime
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• Electron-electron interactions in non-equilibrium bilayer graphene
• STM/S study of electronic inhomogeneity evolution with gate voltage in graphene: role of screening and charge-state of interface defects
• High-field magnetoresistance revealing scattering mechanisms in graphene
• Scanning Tunneling Microscopy and Spectroscopy study of charge inhomogeneities in bilayer Graphene